A survey of university students in Canada reported the following percentages. $$\begin{array} { | l | l | l | l | l | }
\hline & \text { Cat lover } & \text { Dog lover } & \text { Other } & \text { Total } \
\hline \text { Brand 1 Cola } & 22.5 \% & 28.0 \% & 16.5 \% & 67.0 \% \
\hline \text { Brand 2 Cola } & 7.5 \% & 12.0 \% & 13.5 \% & 33.0 \% \
\hline \text { Total } & 30.0 \% & 40.0 \% & 30.0 \% & 100 \% \
\hline
\end{array}$$ Find the conditional distribution of pet preference for students that prefer Brand 1 Cola.
A)30.0% cat,40.0% dog,30.0% other
B)22.5% cat,28.0% dog,16.5% other
C)33.6% cat,41.8% dog,24.6% other
D)22.7% cat,36.4% dog,40.9% other
E)19.0% cat,24.0% dog,57.0% other

Question

A survey of university students in Canada reported the following percentages. $$\begin{array} { | l | l | l | l | l | } 
\hline & \text { Cat lover } & \text { Dog lover } & \text { Other } & \text { Total } \
\hline \text { Brand 1 Cola } & 22.5 \% & 28.0 \% & 16.5 \% & 67.0 \% \
\hline \text { Brand 2 Cola } & 7.5 \% & 12.0 \% & 13.5 \% & 33.0 \% \
\hline \text { Total } & 30.0 \% & 40.0 \% & 30.0 \% & 100 \% \
\hline
\end{array}$$ Find the conditional distribution of pet preference for students that prefer Brand 1 Cola.
A)30.0% cat,40.0% dog,30.0% other
B)22.5% cat,28.0% dog,16.5% other
C)33.6% cat,41.8% dog,24.6% other
D)22.7% cat,36.4% dog,40.9% other
E)19.0% cat,24.0% dog,57.0% other

Quizplus · Accepted Answer

To find the conditional distribution of pet preference for students that prefer Brand 1 Cola, we divide the percentage of each pet preference within Brand 1 Cola by the total percentage of students who prefer Brand 1 Cola (67.0%). Thus, for cat lovers: $22.5\% / 67.0\% = 33.6\%$, for dog lovers: $28.0\% / 67.0\% = 41.8\%$, and for other: $16.5\% / 67.0\% = 24.6\%$.

A Survey of University Students in Canada Reported the Following